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Computer Algebra and Symbolic Computation Lab
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The lab develops computer algebra methods and applies them to problems over the real numbers.
AboutAbout the lab
Making quantifier elimination more efficient through computer algebra.
Associate Professor Ryoya Fukasaku researches the development and application of computer algebra methods.
The professor has made quantifier elimination, one of the methods of computer algebra, more efficient and implemented it in the computer algebra system Maple.
Quantifier elimination is a method that computes, for a first-order formula, an equivalent quantifier-free formula over the real numbers.
Recently, the lab has also been working on applying computer algebra methods over the real numbers to the mathematical sciences.
Key terms
- Computer algebra
- A field that deals with methods for performing algebraic computation using computers. Prof. Fukasaku's main area of research
- Quantifier elimination
- A method that computes, for a given first-order formula, a quantifier-free formula equivalent to it over the real numbers
- First-order formula
- A logical formula in which many mathematical problems can be expressed
ResearchResearch themes
Developing and applying computer algebra methods is the core of the research. The lab has made quantifier elimination more efficient and implemented it in Maple, and it is also working on applying methods over the real numbers to the mathematical sciences.
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MembersFaculty
- Associate ProfessorRyoya Fukasaku
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Roots of polynomial and its derivative” Illustr / CC BY-SA 4.0 (cropped)
- Making quantifier elimination more efficient, and its applications: “Mechanical-calculator-Brunsviga-15-01” CEphoto, Uwe Aranas / CC BY-SA 3.0 (cropped)
- Related lab (Computer Algebra and Symbolic Computation Lab (Ryoya Fukasaku)): “Polynomial expansion” Min666645 / CC BY-SA 3.0 (cropped)
- Related lab (Magnitude Theory and Algebraic Topology Lab): “Wedge sum of spheres” GeometryGirl / Public domain (cropped)
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